Search a number
-
+
100232230013300 = 22527112972173727
BaseRepresentation
bin10110110010100100100010…
…011101110000100101110100
3111010220002220110001112022102
4112302210202131300211310
5101114201101340411200
6553102014545521232
730053353045526510
oct2662444235604564
9433802813045272
10100232230013300
1129a34282880400
12b2a9817043218
1343c0b218398b8
141aa73a158d140
15b8c40c5176d5
hex5b2922770974

100232230013300 has 648 divisors, whose sum is σ = 278051654305152. Its totient is φ = 30698132889600.

The previous prime is 100232230013291. The next prime is 100232230013317. The reversal of 100232230013300 is 3310032232001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 137871017537 + ... + 137871018263.

Almost surely, 2100232230013300 is an apocalyptic number.

100232230013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100232230013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139025827152576).

100232230013300 is an abundant number, since it is smaller than the sum of its proper divisors (177819424291852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100232230013300 is a wasteful number, since it uses less digits than its factorization.

100232230013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100232230013300 its reverse (3310032232001), we get a palindrome (103542262245301).

The spelling of 100232230013300 in words is "one hundred trillion, two hundred thirty-two billion, two hundred thirty million, thirteen thousand, three hundred".